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Finding the Fourth Proportional to 928.88, 1,278 and 804.14

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Solution

The fourth proportional to 928.88, 1,278 and 804.14 is: 1,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,278 = 804.14 : x
  2. Step 2: Convert to fraction form
    928.88/1,278 = 804.14/x
  3. Step 3: Cross multiply
    928.88x = 1,278 × 804.14
  4. Step 4: Simplify right side
    928.88x = 1,027,684.53
  5. Step 5: Solve for x
    x = 1,027,684.53/928.88
  6. Step 6: Final answer
    x = 1,106.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.